Fuzzy quasi-pseudometrics on algebraic structures
Metadades
Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
comunitat-uji-handle4:
INVESTIGACIONAquest recurs és restringit
https://doi.org/10.1016/j.fss.2017.05.022 |
Metadades
Títol
Fuzzy quasi-pseudometrics on algebraic structuresData de publicació
2018-01Editor
ElsevierCita bibliogràfica
SÁNCHEZ, Iván; SANCHIS, Manuel. Fuzzy quasi-pseudometrics on algebraic structures. Fuzzy Sets and Systems, 2018, 330: 79-86.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0165011417302312Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ... [+]
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy (quasi-)pseudometric, then it is a fuzzy (paratopological) topological group, (2) if the topology on a semigroup S is induced by an invariant fuzzy quasi-pseudometric, then S is a fuzzy topological semigroup, and (3) the same conclusion is valid for a left-invariant fuzzy quasi-pseudometric on a monoid G such that the left translations are open and the right translations are continuous at the identity e of G. By means of the standard fuzzy (quasi-)pseudometric associated to a (quasi-)pseudometric d, our results apply in the case of semitopological groups, semigroups and monoids in order to obtain new results that allow us to generalize and to strengthen previous outcomes. [-]
Proyecto de investigación
CONACYT of Mexico (grant number 259783) ; Spanish Ministerio de Economía y Competitividad (Grant MTM2016-77143-P), Generalitat Valenciana (Grant AICO/2016/030) ; Universitat Jaume I (Grant P1-1B2014-35).Drets d'accés
© 2017 Elsevier B.V. All rights reserved.
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
Apareix a les col.leccions
- IMAC_Articles [119]
Elements relacionats
Mostrant elements relacionats per títol, autoria, creador i matèria.
-
Restrictions on maximal invariant subgroups implying solvability of finite groups
Beltrán, Antonio; shao, Changguo Springer Verlag (2018)Suppose that G and A are finite groups such that A acts coprimely on G via automorphisms. It is interesting to investigate the structure and properties of G when we impose some restrictions on its maximal A-invariant ... -
Dual topologies on non-abelian groups
Ferrer González, María Vicenta; Hernández, Salvador Elsevier (2012-06)The notion of locally quasi-convex abelian group, introduced by Vilenkin, is extended to maximally almost periodic non-necessarily abelian groups. For that purpose, we look at certain bornologies that can be defined on the ... -
Contributions to the Bohr topology by W.W. Comfort
Hernández, Salvador; Remus, Dieter; Trigos, Javier Elsevier (2019)The important rôle that W. W. Comfort played in the study of the Bohr topology is described.